What is the Least Common Multiple of 25760 and 25778?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 25760 and 25778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25760 and 25778, than apply into the LCM equation.

GCF(25760,25778) = 2
LCM(25760,25778) = ( 25760 × 25778) / 2
LCM(25760,25778) = 664041280 / 2
LCM(25760,25778) = 332020640

Least Common Multiple (LCM) of 25760 and 25778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25760 and 25778. First we will calculate the prime factors of 25760 and 25778.

Prime Factorization of 25760

Prime Factorization of 25778

Now multiplying the highest exponent prime factors to calculate the LCM of 25760 and 25778.

LCM(25760,25778) = 2⁵ × 5¹ × 7¹ × 23¹ × 12889¹
LCM(25760,25778) = 332020640